Regularity of the Solution of the Scalar Signorini Problem in Polygonal Domains

Author:

Apel Thomas,Nicaise Serge

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference16 articles.

1. Belhachmi, Z., Belgacem, F.B.: Quadratic finite element approximation of the Signorini problem. Math. Comput. 72(241), 83–104 (2003)

2. Brézis, H.: Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. In: Contributions to Nonlinear Functional Analysis (Proc. Sympos., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1971), pp. 101–156 (1971)

3. Christof, C., Haubner, C.: Finite element error estimates in non-energy norms for the two-dimensional scalar signorini problem. Preprint IGDK-2018-14, IGDK 1754, TU München (2018). https://www.igdk.eu/foswiki/pub/IGDK1754/Preprints/Christof_SignoriniNitscheTrick.pdf

4. Conway, J.B.: Functions of One Complex Variable. Graduate Texts in Mathematics, vol. 11, 2nd edn. Springer, New York (1978)

5. Costabel, M., Dauge, M., Nicaise, S.: Corner Singularities and Analytic Regularity for Linear Elliptic Systems. Part I: Smooth domains. HAL report hal-00453934 (2010). https://hal.archives-ouvertes.fr/hal-00453934

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4. Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem;Numerische Mathematik;2020-05-26

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